What is the Least Common Multiple of 55825 and 55839?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 55825 and 55839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55825 and 55839, than apply into the LCM equation.

GCF(55825,55839) = 7
LCM(55825,55839) = ( 55825 × 55839) / 7
LCM(55825,55839) = 3117212175 / 7
LCM(55825,55839) = 445316025

Least Common Multiple (LCM) of 55825 and 55839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55825 and 55839. First we will calculate the prime factors of 55825 and 55839.

Prime Factorization of 55825

Prime Factorization of 55839

Now multiplying the highest exponent prime factors to calculate the LCM of 55825 and 55839.

LCM(55825,55839) = 5² × 7¹ × 11¹ × 29¹ × 3¹ × 2659¹
LCM(55825,55839) = 445316025